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When two lines intersect do they intersect in different ponts?
No, two straight lines can intersect at only one point and that is their point of intersection.
When two lines intersect they intersect in one and only one?
Point.
How many Counterexamples are needed to disprove the conjecture two lines in a plane always intersect at exactly one point?
To disprove the conjecture that two lines in a plane always intersect at exactly one point, only one counterexample is needed. A single example of two lines that do not intersect, such as two parallel lines, is sufficient to show that the conjecture is false. Therefore, one counterexample is enough to invalidate the claim.
Can 3 lines only intersect in only 1 point that?
No, that is not true.
Two lines intersect in more than one point?
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
When two lines intersect do they intersect in different ponts?
No, two straight lines can intersect at only one point and that is their point of intersection.
When two lines intersect they intersect in one and only one?
Point.
Does three points intersect at a single point?
No, only three lines can intersect at a single point.
How many Counterexamples are needed to disprove the conjecture two lines in a plane always intersect at exactly one point?
To disprove the conjecture that two lines in a plane always intersect at exactly one point, only one counterexample is needed. A single example of two lines that do not intersect, such as two parallel lines, is sufficient to show that the conjecture is false. Therefore, one counterexample is enough to invalidate the claim.
Do perpendicular lines intersect in at least two points?
Perpendicular lines intersect at one point only.
Can 3 lines only intersect in only 1 point that?
No, that is not true.
Can two lines intersect at only one point?
Yes.
Can a linear system have exactly two solutions?
NO! A linear system can only have one solution (the lines intersect at one point), no solution (the lines are parallel), and infinitely many solutions (the lines are equivalent).
Two lines intersect in more than one point?
In Euclidean plane geometry two infinitely long straight lines intersect at only one point
Can three lines intersect in only one point?
Any number of lines can intersect all at the same point. Think of a circle. Now think of all of its diameters.
Can 2 skew lines contain the same point?
No. Two lines can include the same point only if they intersect.
Can two straight lines intersect at only one point?
yes
